What is the Least Common Multiple of 64564 and 64568?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least Common Multiple of 64564 and 64568 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64564 and 64568, than apply into the LCM equation.

GCF(64564,64568) = 4
LCM(64564,64568) = ( 64564 × 64568) / 4
LCM(64564,64568) = 4168768352 / 4
LCM(64564,64568) = 1042192088

Least Common Multiple (LCM) of 64564 and 64568 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64564 and 64568. First we will calculate the prime factors of 64564 and 64568.

Prime Factorization of 64564

Prime Factorization of 64568

Now multiplying the highest exponent prime factors to calculate the LCM of 64564 and 64568.

LCM(64564,64568) = 2³ × 16141¹ × 7¹ × 1153¹
LCM(64564,64568) = 1042192088